Find roots of polynomial $$ p(x) = x^3-242107+1449872 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -106.4946\\[1 em]x_2 &= 53.2473+92.227i\\[1 em]x_3 &= 53.2473-92.227i \end{aligned} $$Explanation
Step 1:
Combine like terms:
$$ x^3 \color{blue}{-242107} + \color{blue}{1449872} = x^3+ \color{blue}{1207765} $$Step 2:
Polynomial $ x^3+1207765 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.
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